1362216960 has 384 divisors, whose sum is σ = 5228496000. Its totient is φ = 334430208.

The previous prime is 1362216959. The next prime is 1362216983. The reversal of 1362216960 is 696122631.

It is a happy number.

1362216960 is a `hidden beast` number, since 13 + 622 + 16 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1362216960³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594051 + ... + 3594429.

It is an arithmetic number, because the mean of its divisors is an integer number (13615875).

Almost surely, 2^1362216960 is an apocalyptic number.

1362216960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248000).

1362216960 is an abundant number, since it is smaller than the sum of its proper divisors (3866279040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1362216960 is a wasteful number, since it uses less digits than its factorization.

1362216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1362216960 is about 36908.2234739089. The cubic root of 1362216960 is about 1108.5333441714.

The spelling of 1362216960 in words is "one billion, three hundred sixty-two million, two hundred sixteen thousand, nine hundred sixty".